Congruences for sequences similar to Euler numbers
نویسندگان
چکیده
For a 6= 0 we define {E n } by ∑ k=0 ( n 2k ) a2kE n−2k = (1− a)n (n = 0,1,2, . . .), where [n/2] = n/2 or (n−1)/2 according as 2 | n or 2 n. In the paper we establish many congruences for E n modulo prime powers, and show that there is a set X and a map T : X → X such that (−1)nE 2n is the number of fixed points of T n. MSC: Primary 11B68, Secondary 11A07
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